Home
Class 11
PHYSICS
A U-tube contains a liquid to a height o...

A U-tube contains a liquid to a height of 9.8 cm in one of the limbs. The tube is vertical. If the liquid on one side is depressed a little and released its motion in the tube is simple harmonic motion. Find its period.

Text Solution

Verified by Experts

The correct Answer is:
0.628 s
`T=2pisqrt(h//g),2pisqrt(9.8xx10^(-2)//9.8)=0.68s`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • OSCILLATIONS

    ICSE|Exercise SELECTED PROBLEMS (OSCILLATION IN A TUNNEL BORED THROUGH THE EARTH)|2 Videos

  • OSCILLATIONS

    ICSE|Exercise SELECTED PROBLEMS (FROM TIME PERIOD OF OSCILLATION OF A S.H. OSCILLATOR)|19 Videos

  • MOTION IN FLUIDS

    ICSE|Exercise SELECTED PROBLEMS (FROM POISEUILLE.S FORMULA) |19 Videos

  • PROPERTIES OF MATTER

    ICSE|Exercise MODULE 4 ( TEMPERATURE ) UNSOLVED PROBLEMS|12 Videos

Similar Questions

Explore conceptually related problems

A vertical U-tube of uniform cross-section contains water upto a height of 30 cm. show that if the water in one limb is depressed and then released, its up and down motion in the two limbs of the tube is simple harmonic and calculate its time-period.

A cylindrical block of wood of mass M is floating n water with its axis vertica. It is depressed a little and then released. Show that the motion of the block is simple harmonic and find its frequency.

A vertical U-tube of uniform cross-section contains water upto a height to 0.8 m. Show. that if the water on one side is depressed and then released, its motion up and down the tube is shm. Calculate the period.

A vertical U tube contains a liquid of density rho , length of the liquid in the tube is 2H. The liquid is displaced slightly and released. Show that the liquid will execute SHM. Also find its time period. Take liquid to be ideal.

A cylindrical object of outer diameter 20 cm and mass 2 kg floats in water with its axis vertical. If it is slightly depressed and then released, find the time period of the resulting simple harmonic motion of the object.

A vertical U-tube contains a liquid. The total length of the liquid column inside the tube is 1 . When the liquid is in equilibrium, the liquid surface in one of the arms of the U-tube is pushed down slightly and released. The entire liquid column will undergo a periodic motion.

A solid sphere of radius R is floating in a liquid of density sigma with half of its volume submerged. If the sphere is slightly pushed and released , it starts axecuting simple harmonic motion. Find the frequency of these oscillations.

A liquid can rise to a height of h in a capillary tube of length l ( l gth ) . The tube filled with the liquid is kept horizontal with its two ends open. Now the tube is kept vertical with the liquid in it. Some liquid flows out. Find the height of the liquid remaining in the tube if the surface tension of the liquid is sigma .

A wooden cube (density of wood 'd' ) of side 'l' flotes in a liquid of density 'rho' with its upper and lower surfaces horizonta. If the cube is pushed slightly down and released, it performs simple harmonic motion of period 'T' . Then, 'T' is equal to :-

A vertical U -tube has a liquid up to a height h . If the tube is slowly rotated to an angular speed omega=sqrt(g/h) find the (i) heights of the liquid column, ii pressures at the points 1, 2 and 3 in the limbs in steady state.

Home
Profile